TQUK Maths Level 2 Past Paper 1

Work out 205 983 + 826 148

Work out 2.5 × 3.462

Charlie buys a length of wood equal to 3.6 metres (m). Charlie cuts off a length of 1.125 metres (m).
Work out how much wood Charlie has left.
Give your answer in metres (m).

Work out 7² + 6 × 5

Harper wants to go on holiday.
Harper finds two offers for the same holiday on different websites:

Which offer gives the bigger discount?

60 people attend a dancing school.
The classes each person attends are shown below:

One person is chosen at random.

What is the probability that the person chosen attends the morning ballet class?

Give your answer as a fraction in its simplest form.

Work out the value of A shown in this triangle:

Drew wants to put a fence around a garden.

Drew knows the fence panels are sold in feet (ft).
How many feet (ft) of fence panelling does Drew need in total?
Use this conversion graph:

Write three billion in numbers.

Lee wants to buy a new computer for £1390
If Lee uses a payment plan, the price of the computer increases by 12.5%
How much money will Lee pay in total for the computer using the payment plan?

Put these fractions in order starting with the lowest:
6/7   6/5   8/7   36/35

140 people were asked if they could speak a second language.
126 people said yes.
What percentage of the total number of people said yes?

Harrison needs their new house to be painted within 8 days.
3 painters will take 5 days to paint the house.
Unfortunately, one painter is unavailable.
Will 2 painters be able to paint the house in time?

Some friends are planning a hike.
The total distance of the hike is 105 kilometres (km).
The hiking route is divided into Sections A, B and C in the ratio 3 : 7 : 11
One friend thinks that Section B is 40 kilometres (km) longer than Section A.
Is this correct?

Jude drives 136 kilometres (km) to visit a friend.
The drive takes 2.25 hours.
Jude thinks the average speed was less than 60.5 kilometres per hour (kph).
Is Jude correct?

Sam needs 2.5 pounds (lbs) of flour to do some baking.
The shop sells flour in kilogram (kg) bags.
Sam buys a 2-kilogram bag of flour.
How much flour will Sam have left over?

Use 1 lb = 0.454 kg

Kai gets paid a net amount of £1418.50 each month.
29% is deducted from Kai’s gross pay before they are paid the net amount.
Kai wants to check the gross amount before the 29% was deducted.
Kai rounds the net amount to the nearest £10 and uses the rounded value to check the gross amount.
What answer should Kai get?

Maddison uses this water bottle whilst at the gym.
The bottle is in the shape of a cylinder with internal dimensions:

• Radius = 4 cm
• Height = 22 cm

Maddison’s personal trainer recommends a new water bottle that holds 8% more water.
What size water bottle should Maddison buy?

Use π = 3.14

Two years ago, Nicky paid £8000 into a new savings account.
The savings account paid 4% compound interest per year.
Nicky sees this car for sale:

All the money in the savings account will be used as a deposit towards the car.
The balance will be paid in 20 equal monthly instalments.
How much will each monthly instalment be?

Riley grows apples and oranges.
The weights of the apples collected on Monday are shown below:

The weights of the oranges collected on Monday are summarised below:

Riley claims:

a) ‘On average the weight of the apples is greater than the weight of the oranges.’
b) ‘The weights of the apples are more consistent.’

Are each of Riley’s claims correct?

Taylor is going to Finland for six months and wants to know the average monthly temperature.
Taylor finds this information:

Taylor uses this formula to convert the median temperature from degrees Fahrenheit
(°F) to degrees Celsius (°C):

Where C = temperature in Celsius (°C)
F = temperature in Fahrenheit (°F)

Taylor thinks the median monthly temperature is colder than –1°C.
Is Taylor correct?

Alex has a table in the shape of a rectangle with a semicircle on each end.

Alex wants to cover the surface of the table in fabric and finds these prices online:

Alex uses the modal price to estimate how much it will cost to cover the surface in fabric.
How much does Alex estimate the fabric will cost?

Give your answer to the nearest whole pound (£).
Use π = 3.14